2008702080 has 576 divisors, whose sum is σ = 8815884480. Its totient is φ = 416747520.

The previous prime is 2008702063. The next prime is 2008702103. The reversal of 2008702080 is 802078002.

2008702080 is digitally balanced in base 4 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3104317 + ... + 3104963.

It is an arithmetic number, because the mean of its divisors is an integer number (15305355).

Almost surely, 2^2008702080 is an apocalyptic number.

2008702080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2008702080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4407942240).

2008702080 is an abundant number, since it is smaller than the sum of its proper divisors (6807182400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2008702080 is a wasteful number, since it uses less digits than its factorization.

2008702080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 2008702080 is about 44818.5461611597. The cubic root of 2008702080 is about 1261.7457283268.

The spelling of 2008702080 in words is "two billion, eight million, seven hundred two thousand, eighty".